First one up: Federer (originally had Hingis as well but didn't know whether she would fit your criteria)

No.2. H.R. Giger - the dude that did all the cool design for the Aliens movie. If you go to Gruyeres (where the cheese comes from) then there is a museum of his work, and a cool cafe with all his designs over it.

3. Betrand Piccard - He was the ballonist that got around the world before Branson managed to. He is from the place I live, Lausanne, and is now involved in a project with the Institute I work at - EPFL.

4. Peter Sauber - Used to own the Sauber F1 team

5. Jean-Jacques Rousseau - Philosopher

6. Any of the Bernoulli's - Bigwig mathematicians from the 17th-18th centuries. which leads on to:

7. Leonhard Euler - Taught by one of the above, a large proportion of modern maths comes from this Basel-born gent

8. Carl Gustav Jung - Quack

9. Le Corbusier - Can be found on a 10CHF bank note, created many cool buildings and designs.

and last but definitely by no means least...

10. Ursula Andress - Famous for her bikini.

As an added bonus The Bride of Wildenstein also comes from Lausanne. Luckily I haven't seen her yet!

Amazing how much was achieved prior to the dead homogenising hand of the EU and ubiquitous continental centre left cultural mogodon. All they ever do now is invent forms fill them in and go back to sleep

You picked Mika Hakkinen as a famous Finn (although you mis-spelled his name), but you missed out the two Finns still in F1; Heikki Kovaleinen and current world champion Kimi Raikkonen. Oddly, they all drove (at one time) for the same team, as did fellow Finn Keke Rosberg.